1. Suppose X is normal with ?=10 and ?=5. Find x0 such that P(X?x0)=0.0643 10.8 15 10.32 17.6 2.4
2. A survey was conducted to measure the number of hours per week adults in the United States spend on home computers. In the survey, the number of hours was normally distributed, with a mean of 7 hours and a standard deviation of 1 hour. A survey participant is randomly selected. Which of the following statements is true?
| The probability that the hours spent on the home computer by the participant are between 4.5 and 9.5 hours per week is 0.0124. |
| If 43 adults in the United States are randomly selected, you would expect to say about 1 adult spend less than 5 hours per week on a home computer. |
| The probability that the hours spent on the home computer by the participant are less than 4.5 hours per week is 0.9938. |
| 0.13% of the adults spend more than 4 hours per week on a home computer. |
|
The probability that the hours spent on the home computer by the participant are more than 9.5 hours per week is 0.9938. 3. The length of gestation for swine is normally distributed with mean 114 days and standard deviation 0.75 day. Find the probability that a litter will be born within one day of the mean of 114, i.e., P(113<X<115).
|
5. Weights of newborn babies in a certain state have normal distribution with mean 5.33 lb and standard deviation 0.65 lb. A newborn weighing less than 4.85 lb is considered to be at-risk, that is, has a higher mortality rate.
(a) A baby just born in this state is picked at random. The probability that the baby is at-risk is about [ Select ] ["0.23", "0.53", "0.43", "0.33", "0.13"]
(b) The hospital wants to take pictures of the heaviest 10% of the newborn babies. The minimum weight (in lbs) required for a picture to be taken is about [ Select ] ["6.16", "7.27", "8.12", "5.89", "9.12"]
In: Statistics and Probability
Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 14 colleges and universities in Kansas showed that x has a sample variance s2 = 82.6. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: σ2 = 47.1; H1: σ2 > 47.1Ho: σ2 < 47.1; H1: σ2 = 47.1 Ho: σ2 = 47.1; H1: σ2 < 47.1Ho: σ2 = 47.1; H1: σ2 ≠ 47.1
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original
distribution?
We assume a binomial population distribution.We assume a exponential population distribution. We assume a normal population distribution.We assume a uniform population distribution.
(c) Find or estimate the P-value of the sample test
statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, there is insufficient evidence to conclude the variance of annual salaries is greater in Kansas.At the 5% level of significance, there is sufficient evidence to conclude the variance of annual salaries is greater in Kansas.
(f) Find the requested confidence interval for the population
variance. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
Interpret the results in the context of the application.
We are 95% confident that σ2 lies above this interval.We are 95% confident that σ2 lies within this interval. We are 95% confident that σ2 lies outside this interval.We are 95% confident that σ2 lies below this interval.
In: Statistics and Probability
Paraphrase and write these two paragraphs in your own words.
Progressivism was a movement starting at the end of the nineteenth century (1880) and ended in the second decade of the twentieth century (1920). In this era, tremendous changes at the economic, social, and political level were made. People taking part in the movement had diversified backgrounds, different political views, and varied social interests. It included political leaders from both Democrats and Republicans. The movement was led by people of different groups comprising teachers, political leaders, labor leaders, religious leaders, journalists, from both genders. It included famous people like; Theodore Roosevelt- President of the United States; Woodrow Wilson- President of the United States; Robert M. La Follette, former governor of Wisconsin.
Muckrakers, a group of journalists such as Lincoln Steffens and Ida Tarbell, exposed corruption practices in government and highlighted business scandals. They portrayed the miserable working conditions of poor and exploitations of large industries along with issues of concentration of wealth. Henry Ford introduced a lucrative pay scale for his workers during the Progressive era. Among prominent ladies were Lucy Burns- an advocate of women's rights, and Jane Adams- a social worker and first women winner of the Noble Peace Prize. As regards, goals of Progressivism, one of them was 'social welfare' aiming to provide social justice to everyone irrespective of social class. It strived to eliminate differences in social classes and supported attaining social justice by promoting the idea of charity and welfare by large organizations. For this purpose, a large force comprising social workers was prepared and trained to perform their task effectively. The second goal of Progressivism was 'promotion of moral improvement', for example, women's Suffrage by providing women the right to vote. Certain prohibition laws were introduced, for example, Progressive leaders were of the view that the use of alcohol limited thinking and working of a person. Third goal was to provide 'economic reforms' by regulating especially large corporations to ensure independence and remove restrictions imposed by capitalism. The fourth main goal of Progressivism was 'efficiency'. Among other ideas, it included creating a professional city manager to run affairs at the local, state, and national level more effectively. Moreover, leaders of Progressivism reduced powers given to local wards through effective organization of city governments.
Paraphrase and rewrite these 2 paragraphs in your own words, please.
In: Economics
Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 17 colleges and universities in Kansas showed that x has a sample variance s2 = 82.6. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: σ2 < 47.1; H1: σ2 = 47.1Ho: σ2 = 47.1; H1: σ2 < 47.1 Ho: σ2 = 47.1; H1: σ2 > 47.1Ho: σ2 = 47.1; H1: σ2 ≠ 47.1
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original
distribution?
We assume a binomial population distribution.We assume a normal population distribution. We assume a exponential population distribution.We assume a uniform population distribution.
(c) Find or estimate the P-value of the sample test
statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, there is insufficient evidence to conclude the variance of annual salaries is greater in Kansas.At the 5% level of significance, there is sufficient evidence to conclude the variance of annual salaries is greater in Kansas.
(f) Find the requested confidence interval for the population
variance. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
Interpret the results in the context of the application.
We are 95% confident that σ2 lies outside this interval.We are 95% confident that σ2 lies within this interval. We are 95% confident that σ2 lies below this interval.We are 95% confident that σ2 lies above this interval.
In: Statistics and Probability
This assignment is designed to illustrate how a spreadsheet
program such as Microsoft Excel supplemented by PHStat can enable
you to easily accomplish hypothesis tests and confidence intervals
that compare two population parameters. All work should be
accomplished using PHStat. You should provide all the appropriate
printouts of the tests you do and the confidence intervals you
create along with explanations of the meaning of your answers and
business implications for each problem. The assignment should be
submitted to the drop box created for this purpose. Use the
information in your text both within the chapter and at the end of
the chapter and in the appendices at the end of the book as a guide
to completing the assignment of needed.
You have been asked once again to study the mean tuition at private
universities throughout the United States. You will also again
study the proportions of universities throughout the United States
that regularly award more than 50% of their students some form of
financial aid. The specific questions you will be asked to answer
are stated below. In addition, appropriate sample data for the
studies you will be accomplishing is given below. Answer the
following questions concerning the situations posed.
You first wish to know whether there is a difference in the mean tuition at private universities that are located east and west of the Mississippi River. The population standard deviation in the tuition of private universities east of the Mississippi is thought to equal $11,000, and the standard deviation in the tuition of private universities west of the Mississippi is thought to equal $10,000. A random sample of 25 private universities located east of the Mississippi River is chosen. The sample mean tuition for these universities is found to equal $19,850. A random sample of 35 universities located west of the Mississippi River is selected. The sample mean tuition for these universities is found to equal $14,765. At each of the 5% and 10% levels of significance, is there a difference in the mean tuition rates for these two groups of private universities? If at either level of significance, you do observe that there is a difference in the mean tuition, is that difference different from $2,000? If the software permits it, construct both 95% and 90% confidence intervals for the difference in the mean tuition for universities located east and west of the Mississippi River. Explain their meanings in the context of the problem. Use these intervals to test whether there is a difference in the mean tuition rates. Use the 95%
confidence interval to perform the test at the 5% level of significance and the 90% confidence interval to perform the test at the 10% level of significance.
In: Statistics and Probability
You should explain the confidence intervals you create along with explanations of the meaning of your answers and business implications for each problem.
Scenario:
You have been asked once again to study the mean tuition at
private universities throughout the United States. You will also
again study the proportions of universities throughout the United
States that regularly award more than 50% of their students some
form of financial aid. The specific questions you will be asked to
answer are stated below. In addition, appropriate sample data for
the studies you will be accomplishing is given below. Answer the
following questions concerning the situations posed.
2.) Once again, as has happened in the past, you are very much in
doubt concerning the validity of the known population standard
deviations in the tuitions charged by private universities.
Therefore, you wish to conduct your study with the knowledge that
the population standard deviations are unknown. These unknown
population standard deviations will be estimated using sample
standard deviations. You collect random samples of the tuitions at
private universities east and west of the Mississippi River. The
data that has been collected is shown in appendix one. At both the
5% and 10% levels of significance, are there any differences in the
mean tuition rates at private universities east and west of the
Mississippi River? Based upon the procedure you use to compare the
means in this problem, once again, if the software allows for it,
find 95% and 90% confidence intervals for the difference in the
mean tuition rates for universities both east and west of the
Mississippi River. Explain their meanings in the context of the
problem. As you did in the previous problem, of the procedure
allows for it, use these intervals to confirm the results of the
hypothesis tests in the problem. Use the 95% confidence interval to
confirm the results at which you arrived at the 5% level of
significance and use the 90% confidence interval to confirm the
results at which you arrived at the 10% level of
significance.
Appendix One (Tuition)
East of the Mississippi River:
$21,165 $20,435 $29,110 $11,890 $19,500 $21,450
$22,250 $18,450 $22,225 $21,550 $19,990 $18,255
$23,350 $24,110 $20,000 $21,340 $22,500 $23,185
$19,080 $24,320 $17,850 $19,990 $16,760 $12,460
$18,150
West of the Mississippi River:
$17,740 $13,000 $19,550 $18,450 $15,050 $18,600
$18,000 $17,500 $16,900 $21,000 $19,990 $14,520
$18,400 $15,000 $19,750 $17,450 $15,575 $13,260
$12,375 $19,750 $15,560 $17,880 $13,450 $16,660
$20,000
In: Statistics and Probability
In: Economics
Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2 = 47.1. However, a random sample of 16 colleges and universities in Kansas showed that x has a sample variance s2 = 79.1. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: σ2 = 47.1; H1: σ2 < 47.1Ho: σ2 < 47.1; H1: σ2 = 47.1 Ho: σ2 = 47.1; H1: σ2 ≠ 47.1Ho: σ2 = 47.1; H1: σ2 > 47.1
(b) Find the value of the chi-square statistic for the sample.
(Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original
distribution?
We assume a binomial population distribution.We assume a exponential population distribution. We assume a uniform population distribution.We assume a normal population distribution.
(c) Find or estimate the P-value of the sample test
statistic.
P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis?
Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the
application.
At the 5% level of significance, there is insufficient evidence to conclude the variance of annual salaries is greater in Kansas.At the 5% level of significance, there is sufficient evidence to conclude the variance of annual salaries is greater in Kansas.
(f) Find the requested confidence interval for the population
variance. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
Interpret the results in the context of the application.
We are 95% confident that σ2 lies above this interval.We are 95% confident that σ2 lies outside this interval. We are 95% confident that σ2 lies below this interval.We are 95% confident that σ2 lies within this interval.
In: Statistics and Probability
Is Walgreens’ rapid growth strategy realistic? Why or why not?
How will changes in U.S. health care policy affect Walgreens? Explain.
Case 2: Walgreens
Walgreens was founded in 1901 and incorporated in 1909 in Chicago. Like other drugstores in the early 20th century, Walgreens emphasized a soda fountain and a lunch counter. By 1929, the firm had amassed 394 stores and $47 million in revenues. By the 1950s, Walgreens had begun a shift to self-service stores, but rapid growth did not occur until the late 1970s and early 1980s. Walgreens passed the 1,000-store milestone in 1984 and continued to grow steadily.
Today, Walgreens is the leading drugstore chain in the United States, operating almost 8,000 stores throughout the United States, Guam, and Puerto Rico. The firm also operates two mail service facilities and 13 distribution centers throughout the country.
Prescriptions account for about 65% of company sales, with the rest coming from OTC medications, cosmetics, toiletries, photo processing, and grocery items. Approximately 90% of prescriptions are paid by insurance companies or other third parties. Most stores offer drive-thru pharmacies and almost all offer in-store photo processing. Walgreens’ closest rival is CVS, although competition from pharmacies in grocery stores and discount retailers such as Wal-Mart has intensified.
More consumers are using health insurance to pay for prescription drugs. Retailers receive the same payment from insurers for a given drug and consumers pay the same co-pay regardless of pharmacy. As a result, convenience appears to have replaced price as the most important factor in the pharmacy side of the business. In this regard, “convenience” includes such factors as the acceptance of a given insurance plan, store hours, waiting periods, options for telephone and Internet refills, and the availability of grocery or other items that a consumer might wish to purchase while picking up a prescription.
Walgreens has responded to this emphasis on convenience by developing highly visible and accessible freestanding stores in high-traffic locations. Many of the stores are open 24 hours a day. As such, Walgreens continues to emphasize building new stores rather than acquiring them from smaller rivals.
Walgreens has benefited from constant increases in U.S. expenditures on prescription drugs, a trend that is projected to continue well into the future. The effects of the Patient Protection and Affordable Care Act of 2010 (and any subsequent revisions) on Walgreens remain unclear.
In: Economics
please go to details and don't forget to answer the questions that my professor ask for, also explain for the first question in one paragraph and explain second question in one paragraph too. thanks.
Sex Education and Teenage Pregnancy
Santrock (2016) mentions in his text that the United States has one of the highest teenage pregnancy rates of industrialized nations, despite the fact that adolescent sexual activity is no higher in the United States. Why is that? For starters, sex during adolescence is considered a "taboo" subject in our culture. Abstinence is also promoted and touted as the most safest, surefire way to avoid the consequences of early sexual activity. Additionally, we teach teens that sexual activity is an "adult activity" and do not acknowledge that during the adolescent period, when there is an upsurge of hormones and changes in the physiological landscape, teens grow curious about their bodies and that of the opposite sex. Teens are also at a stage in their life where experimentation and identify formation are at its "peak", and questioning, expressing, and exploring their sexual identity is part of that process.
How many people did you know in high school knew what sex was and even had sex? Probably the majority. That is because sexual curiosity during adolescence is part of healthy, typical human development.
What is sex education?
Briefly, sex education is about instilling accurate, scientific-based information and spreading awareness about the following:
1. The physiological changes that occur in the body due to pubertal/hormonal changes.
2. The risks and consequences involved in sexual activity such as contracting sexually transmitted diseases or pregnancy.
3. It involves teaching youngsters how to set boundaries with others when it comes to their own body and other people's bodies (i.e."No means NO!").
4. Contraception options-how to be "sex smart" such as the benefits of using protection.
5. A discussion about knowing when they are "ready" to have sex.
6. Define rape and sexual assault and how to know if you are about to be a victim.
Put it in Perspective...
Answer the Following Discussion Questions:
1. What was your experience with 'sex education'? Did you take a class in school? Did you learn from your caregivers? Include points that you remember learning. And how has that served you as a teenager?
2. According to the film "Inside the Teenage Brain" and your textbook readings, what are some effective ways to approach a conversation with teenagers about 'safe sex'?
In: Psychology